{"id":"https://openalex.org/W2056055720","doi":"https://doi.org/10.1109/acc.2013.6580905","title":"Robust stability and stabilization of discrete-time Markov jump linear systems with partly unknown transition probability matrix","display_name":"Robust stability and stabilization of discrete-time Markov jump linear systems with partly unknown transition probability matrix","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2056055720","doi":"https://doi.org/10.1109/acc.2013.6580905","mag":"2056055720"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044265891","display_name":"M\u00e1rcio F. Braga","orcid":null},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Marcio F. Braga","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Campinas, Campinas, Sao Paulo, Brazil","Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas, Campinas, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068032153","display_name":"Cec\u00edlia F. Morais","orcid":"https://orcid.org/0000-0002-9994-0339"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cecilia F. Morais","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Campinas, Campinas, Sao Paulo, Brazil","Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas, Campinas, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086811845","display_name":"Ricardo C. L. F. Oliveira","orcid":"https://orcid.org/0000-0002-8225-7058"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ricardo C. L. F. Oliveira","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Campinas, Campinas, Sao Paulo, Brazil","Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas, Campinas, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067189335","display_name":"Pedro L. D. Peres","orcid":"https://orcid.org/0000-0002-6371-7338"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Pedro L. D. Peres","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Campinas, Campinas, Sao Paulo, Brazil","Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas, Campinas, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044265891"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":2.44162396,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.9001142,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"6784","last_page":"6789"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6373705267906189},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5482358336448669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5476705431938171},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5400295257568359},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4836953282356262},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4691912829875946},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.4550413489341736},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45308011770248413},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4460587501525879},{"id":"https://openalex.org/keywords/stochastic-matrix","display_name":"Stochastic matrix","score":0.44518065452575684},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4371252954006195},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4117096960544586},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3863690495491028},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37363719940185547},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.3634952902793884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3435227870941162},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.14520999789237976},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1366651952266693},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07684385776519775},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0679807960987091}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6373705267906189},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5482358336448669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5476705431938171},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5400295257568359},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4836953282356262},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4691912829875946},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.4550413489341736},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45308011770248413},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4460587501525879},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.44518065452575684},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4371252954006195},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4117096960544586},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3863690495491028},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37363719940185547},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.3634952902793884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3435227870941162},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.14520999789237976},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1366651952266693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07684385776519775},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0679807960987091},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2013.6580905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1489051611","https://openalex.org/W1490978409","https://openalex.org/W1502439507","https://openalex.org/W1510134586","https://openalex.org/W1967073510","https://openalex.org/W1980385687","https://openalex.org/W1987705874","https://openalex.org/W1998357391","https://openalex.org/W1999494181","https://openalex.org/W2002588080","https://openalex.org/W2011961136","https://openalex.org/W2023038772","https://openalex.org/W2039867272","https://openalex.org/W2042710419","https://openalex.org/W2057000602","https://openalex.org/W2065548314","https://openalex.org/W2075735270","https://openalex.org/W2077088183","https://openalex.org/W2097902574","https://openalex.org/W2106812200","https://openalex.org/W2117175670","https://openalex.org/W2117457798","https://openalex.org/W2134831431","https://openalex.org/W2164394936","https://openalex.org/W2170776442","https://openalex.org/W2536620281","https://openalex.org/W3134653577","https://openalex.org/W3210839039","https://openalex.org/W6791267575"],"related_works":["https://openalex.org/W2072823348","https://openalex.org/W79058889","https://openalex.org/W1201664832","https://openalex.org/W3007127527","https://openalex.org/W4312858846","https://openalex.org/W3151498461","https://openalex.org/W1984232695","https://openalex.org/W2127013863","https://openalex.org/W2800044850","https://openalex.org/W2051058175"],"abstract_inverted_index":{"An":[0],"improved":[1,62],"linear":[2,24],"matrix":[3,44],"inequality":[4],"(LMI)":[5],"approach":[6],"is":[7],"proposed":[8,70,92],"to":[9,111],"deal":[10],"with":[11,27,61,87],"the":[12,37,41,50,72,116],"problems":[13],"of":[14,20,40,49,53,75,78],"stability,":[15],"mode-dependent":[16],"and":[17,66,101],"mode-independent":[18],"stabilization":[19],"discrete-time":[21],"Markov":[22],"jump":[23],"systems":[25],"(MJLS)":[26],"partly":[28],"unknown":[29],"transition":[30,42],"probability":[31,43],"matrix.":[32],"As":[33],"a":[34,88],"first":[35],"contribution,":[36],"uncertain":[38],"parameters":[39],"are":[45,69,91],"modeled":[46],"in":[47,97,115],"terms":[48],"Cartesian":[51],"product":[52],"simplexes,":[54],"called":[55],"multi-simplex.":[56],"Then,":[57],"convergent":[58],"LMI":[59],"relaxations":[60],"trade-off":[63],"between":[64],"precision":[65],"computational":[67],"effort":[68],"for":[71,93],"stability":[73],"analysis":[74],"this":[76],"class":[77],"MJLS.":[79],"Finally,":[80],"new":[81],"design":[82],"conditions":[83,113],"based":[84],"on":[85],"LMIs":[86],"scalar":[89],"parameter":[90],"state":[94],"feedback":[95],"control,":[96],"both":[98],"mode":[99,102],"independent":[100],"dependent":[103],"scenarios,":[104],"providing":[105],"less":[106],"conservative":[107],"results":[108],"when":[109],"compared":[110],"other":[112],"available":[114],"literature,":[117],"as":[118],"illustrated":[119],"by":[120],"numerical":[121],"examples.":[122]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
